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10204314344 = 2371973791663
BaseRepresentation
bin10011000000011100…
…10111101011101000
3222100011012212201022
421200032113223220
5131344301024334
64404321512012
7510605145410
oct114016275350
928304185638
1010204314344
114367084444
121b894a2608
13c68125433
146cb349640
153eacba82e
hex260397ae8

10204314344 has 128 divisors (see below), whose sum is σ = 23642112000. Its totient is φ = 4032198144.

The previous prime is 10204314331. The next prime is 10204314359. The reversal of 10204314344 is 44341340201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6135257 + ... + 6136919.

It is an arithmetic number, because the mean of its divisors is an integer number (184704000).

Almost surely, 210204314344 is an apocalyptic number.

10204314344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11821056000).

10204314344 is an abundant number, since it is smaller than the sum of its proper divisors (13437797656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10204314344 is a wasteful number, since it uses less digits than its factorization.

10204314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10204314344 its reverse (44341340201), we get a palindrome (54545654545).

The spelling of 10204314344 in words is "ten billion, two hundred four million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 73 76 79 133 146 152 158 266 292 316 511 532 553 584 632 1022 1064 1106 1387 1501 1663 2044 2212 2774 3002 3326 4088 4424 5548 5767 6004 6652 9709 10507 11096 11534 11641 12008 13304 19418 21014 23068 23282 31597 38836 40369 42028 46136 46564 63194 77672 80738 84056 93128 109573 121399 126388 131377 161476 219146 221179 242798 252776 262754 322952 438292 442358 485596 525508 767011 849793 876584 884716 919639 971192 1051016 1534022 1699586 1769432 1839278 2306581 2496163 3068044 3399172 3678556 4613162 4992326 6136088 6798344 7357112 9226324 9590521 9984652 16146067 17473141 18452648 19181042 19969304 32292134 34946282 38362084 64584268 67133647 69892564 76724168 129168536 134267294 139785128 182219899 268534588 364439798 537069176 728879596 1275539293 1457759192 2551078586 5102157172 10204314344